Company A charges $3.25 per spirit banner. The equation C=2.45x represents the cost in dollars, C, for x spirit banners at Company B. How much more would it cost to purchase 80 spirit banners from the more expensive company?

The value of the equation a + b is 12

The system of equations is given as:

3a + 6b = 45

2a - 2b = 12

Multiply the second equation by 1.5

3a - 3b = 18

Subtract this equation from the first equation to eliminate a

9b = 27

Divide by 9

b = 3

Substitute b = 3 in 2a - 2b = 12

2a - 2*3 = 12

Divide through by 2

a - 3 = 6

Add 3 to both sides

a = 9

So, we have:

a + b = 9 + 3

Evaluate

a + b = 12

Hence, the value of the equation a + b is 12

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The equation can be used to model the number of subscribers, y, in the city t years after 2000 is  y = 200,000(1+60)t.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

The first step is to calculate the percentage increase for each year.

If the subscribers increase by 60%, it means that the subscribers will be (100+60)% of the previous year.

(100+60)% = (100/100 + 60/100)

                 =  (1 + 0.6)

After 2,000, the subscribers will be 200,000×(1+0.6).

For the following years the 200,000×(1+0.6)t

So, the value of y will be given by,

Y=200,000(1+0.6)t

Hence,The equation Y=200,000(1+0.6)t .

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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The estimated total cost of 32 printers at £198 each and 58 ink cartridges at £31.

to estimate the total cost, we can multiply the quantity of each item by its respective cost and then sum them together.

the cost of 32 printers at £198 each can be calculated as follows:32 printers * £198/printer = £6336

the cost of 58 ink cartridges at £31.15 each can be calculated as follows:

58 cartridges * £31.15/cartridge = £1805.70

to find the total cost, we add the cost of the printers and the cost of the ink cartridges:total cost = £6336 + £1805.70 = £8141.70 15 each is £8141.70.

the total cost of 32 printers at £198 each and 58 ink cartridges at £31.

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60% gross margin means they increase by the price by 60%

Multiply the purchase price by 1 + the gross margin:

16 x (1 + 0.60) = 16 x 1.60 = 25.60

The sticker price is $25.60

Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

\(v(t) = y'(t) = 3t^2 - 12t + 9\)

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

\(3t^2 - 12t + 9 = 0\)

Simplifying this equation, we get:

\(t^2 - 4t + 3 = 0\)

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

\(y(1) = 1^3 - 6(1)^2 + 9(1) = 4\)

\(y(3) = 3^3 - 6(3)^2 + 9(3) = 0.\)

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Answer:

Smaller Angle : 36 degrees

Bigger Angle : 144 degrees

Step-by-step explanation:

So we can name the smaller angle x and the larger one 4x. We can add them and make the answer 180. x+4x=180, 5x=180, x=36

Smaller angle : x=36

Bigger Angle : 4x=36*4=144

Answer:

Angle X = 36

Angle Y = 144

Please give me Branliest

Step-by-step explanation:

Ok, so

X + Y = 180

and

4X = Y

So we substitute

X+4X = 180

5X = 180

X = 36

Now

36 + Y = 180

-36          -36

Y = 144

The probability of a home for sale having a garage but no pool is 0.42.

To do this, we need to use some probability rules. One useful rule is the formula for calculating the probability of an event not occurring. This is given by:

P(not A) = 1 - P(A)

where A is the event we are interested in, and not A is the event of A not occurring.

In this case, we are interested in the probability of a home having a garage but no pool. Let's call this event GNP (short for garage no pool). Using the information given, we know that 60% of homes have garages and 18% have both garages and pools. We can use this information to calculate the probability of a home having a garage but no pool as follows:

P(GNP) = P(G) - P(G and P)

where G is the event of a home having a garage and P is the event of a home having a pool.

Substituting the values we have:

P(GNP) = 0.6 - 0.18

P(GNP) = 0.42

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Answer:

60 hemos soy mexicano espero que te sirva

Answer:

5/8, 3/4, 2/3, 1/2

Step-by-step explanation:

8 is more than 4, 4 is more than 3, 3 is more than 2.

Answer:

Step-by-step explanation

3/4= 0.75

1/2= 0.5

2/3= 0.66

5/8= 0.625

Answer:

Step-by-step explanation:

b+88=180

b=180-88

b=92

c is corresponding angle to b so c=92

a+c=180

a+37=180

a=180-37

a=143

Answer:

C = 143°

B = 143°

A = 92°

Step-by-step explanation:

Angle C and 37° are supplements, so subtract 37 from 180.
Angles C and B are corresponding angles, so they are equal.
Then, add 37° + 143° + 88°= 268. Then subtract 268 from 360 which is equal to 92.

Answer:

A. Line JK

Step-by-step explanation:

The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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Answer:

4x+36

Step-by-step explanation:

All you have to do is multiply the 4 by the numbers inside the parentheses.

4 times x is 4x

4 times 9 is 36

You can't find the answer since you don't know what x is.

I hope this helps, and have a great day! :)

The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.

If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.

If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.

However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.

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9514 1404 393

Answer:

  WR ≅ WX

Step-by-step explanation:

To use the SAS postulate, you need congruent sides bounding a congruent angle.

Here, side WP is one side of one of the vertical angles, ∠PWR, so you need the other side of that angle: WR. The corresponding side in triangle VWX is WX. That is, for SAS, you need WR ≅ WX.

Answer:40 x 4

Step-by-step explanation:

Answer:

10.35

Step-by-step explanation:

The given triangle is a right angled ∆ .The data given is ,

We can use ratio of cosine here , as ,

=> cos∅ = b/h

=> cos 63° = x/23

=> 0.45 = x/23

=> x = 23 × 0.45

=> x = 10.35

The required differential equation is x'' + 0.67x' + 2.33x = 0.

The standard differential equation, which we use to represent a damped spring-mass system is written as:

m(d²x/dt²) + c(dx/dt) + kx = 0,

where m is the mass, c is the damping coefficient, k is the spring constant, x is the d²splacement, and the equation has been derived with respect to time t.

In the question, the

mass m = 3 kg,

spring constant k = 7 N/m,

damping constant c = 2N-s/m.

Differentiating x with time t, we take (d²x/dt²) = x'', and (dx/dt) = x'.

Substituting all the values in the standard differential equation, we get:

3x'' + 2x' + 7x = 0,

or, x'' + (2/3)x' + (7/3)x = 0 {Dividing by 3},

or, x'' + 0.67x' + 2.33x = 0, which is the required differential equation.

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The provided question is incorrect. The correct question is:

"Suppose a spring with a spring constant of 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 2 N⋅s/m. Set up a differential equation that describes this system. Let x denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x′, x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium."

Answer:

12 percent is your answer, it would've been %24 if it was 100 percent but it is 200 so it is %12

Step-by-step explanation:

Have a great day :)

Answer: \(\frac{1}{a^6}\)

Step-by-step explanation:

When you want to solve something that has a negative exponent, turn it into a fraction.

a^-6

= \(\frac{1}{a^6}\)

If you knew the value of a, you would solve it completely.

Answer:

A rocket is launched from a tower. The height of the rocket, y in feet, is

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

y=-16x^2+129x+119

y=−16x  

2

+129x+119

The final amount in the retirement​ account is: $153,432.78.

For first 7 years:

\(i = 0.05/12 = 0.004166\\n = 7(12) = 84\)

The amount after 7 years is:

\(= 470*(1.041666^{84} - 1)/0.004166\\= 47154.47\)

So, this will accumulate for another 7 years at 7% pa, compounded monthly.

Data:

i = .07/12 = 0.0058333

n = 84

The amount of first investment will be:

\(= $47154.47*(1.0058333)^{84}\\= $76861.50\)

The amount of 2nd investment will be:

\(= $709*(1.0058333^{84} - 1)/.005833\\= $76571.28\)

So, the final amount in the retirement​ account is:

= $76861.50 + $76571.28

= $153,432.78

Full question "Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time. $470 per month invested at 5%, compounded monthly, for 7 years; then $709 per month invested at 7%, compounded monthly, for 7 years. What is the amount in the account after 14 years?"

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Answer:

41.8

Step-by-step explanation:

Use the sine formula: sin(x)=6/8 which equals roughly to 41.81

The perimeter of a rectangle in which h=8 ft and A=144x ft2 is 16 ft + 36x ft.                                           Therefore, the correct option is: C P= (16 + 36x) ft

Perimeter is the outer perimeter distance of a closed 2D shape. It is the sum of the lengths of all the sides of the shape. 

Using the formula for the area of a rectangle, A = lw, and substituting the given values of h = 8 ft and A = 144x ft^2, we can solve for the width w as:

w = A/h = (144x ft^2)/(8 ft) = 18x ft

The perimeter of the rectangle can then be found using the formula:

P = 2l + 2w

Substituting the given value of h = 8 ft, we have:

P = 2(8 ft + 18x ft) = 16 ft + 36x ft

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The perimeter of a rectangle in which h=8 ft and \(A=144x\ ft^2\) is

16 ft + 36x ft. Therefore, the correct option is: C P= (16 + 36x) ft.

The perimeter of a closed 2D object is measured from edge to edge. It stands for the length of the shape's borders overall.

Using the equation for a rectangle's area, A = lw, and substituting the given values of h = 8 ft and \(A=144x\ ft^2\), we can solve for the width w as:

\(w=\frac{A}{h} \\\\w=\frac{144x\ ft^2}{8\ ft} \\\\w=18x\ ft\)

The following algorithm can be used to determine the rectangle's perimeter:

P = 2l + 2w

With h = 8 feet as the substitute, we get:

P = 2(8 ft + 18x ft)

  = 16 ft + 36x ft

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Answer:

I don't understand the formatting after the first two equations.

Step-by-step explanation:

See attached graph.

Answer:

He bought 12 $0.25 costing cards and 8 $0.15 costing cards.

Step-by-step explanation:

Let the number of $0.25 costing cards he bought be s,
Let the number of $0.15 costing cards he bought be t,
According to the question,
He bought a total of 20 game cards,
Thus,
s + t = 20
or, s = 20 - t ------(i)
Now,
Since, he bought s and t no of cards each and it amounted to $4.2, we know,
$0.25s + $0.15t =  $4.2
or, $0.25(20 - t) + $0.15t =  $4.2 [From (i)]
or, $5 - $0.25t + $0.15t =  $4.2
or, $5 - $4.2 = $0.1t
or, $0.8/$0.1 = t
t = 8
From (i),
s = 20 - t = 20 - 8 = 12
Therefore, he bought 12 $0.25 costing cards and 8 $0.15 costing cards.

The surface area of the triangular prism is 4800 square yard.

The surface area of a triangular prism is sum of the areas of the faces that make the prism.

The surface area of a triangular prism is given by:

SA = (a + b + c)L + bc

Where a and b are the bases of the rectangular faces, c is the height of the triangle and h is the total length of the prism

In this case:

L = 40, a = 34, b = 32 and c = 30

SA = (34 + 32 + 30)40 + (32 * 30)

SA = 3840 + 960

SA = 4800 square yard

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Answer:

-10 is the right answer ........

Answer:

-10

Step-by-step explanation:

It is just saying negative five plus negative five which is negative ten!

The parenthesis is just for it to long more organized and for you to not think it is a subtraction sign.